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Finding the Fourth Proportional to 202.66, 277.60 and 200.50

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Solution

The fourth proportional to 202.66, 277.60 and 200.50 is: 274.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    202.66 : 277.60 = 200.50 : x
  2. Step 2: Convert to fraction form
    202.66/277.60 = 200.50/x
  3. Step 3: Cross multiply
    202.66x = 277.60 × 200.50
  4. Step 4: Simplify right side
    202.66x = 55,658.80
  5. Step 5: Solve for x
    x = 55,658.80/202.66
  6. Step 6: Final answer
    x = 274.64

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.